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144816144965 = 51131741147221
BaseRepresentation
bin1000011011011110110…
…1110000001001000101
3111211210111010101121122
42012313231300021011
54333040413114330
6150305544323325
713314451631162
oct2066755601105
9454714111548
10144816144965
1156463a36138
1224096773545
131086b5ca10b
14701b111069
153b7895c5e5
hex21b7b70245

144816144965 has 16 divisors (see below), whose sum is σ = 175419135216. Its totient is φ = 114760934400.

The previous prime is 144816144953. The next prime is 144816144983. The reversal of 144816144965 is 569441618441.

It can be written as a sum of positive squares in 8 ways, for example, as 63795646084 + 81020498881 = 252578^2 + 284641^2 .

It is not a de Polignac number, because 144816144965 - 226 = 144749036101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 910055 + ... + 1057275.

It is an arithmetic number, because the mean of its divisors is an integer number (10963695951).

Almost surely, 2144816144965 is an apocalyptic number.

It is an amenable number.

144816144965 is a deficient number, since it is larger than the sum of its proper divisors (30602990251).

144816144965 is a wasteful number, since it uses less digits than its factorization.

144816144965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149080.

The product of its digits is 3317760, while the sum is 53.

The spelling of 144816144965 in words is "one hundred forty-four billion, eight hundred sixteen million, one hundred forty-four thousand, nine hundred sixty-five".

Divisors: 1 5 113 565 1741 8705 147221 196733 736105 983665 16635973 83179865 256311761 1281558805 28963228993 144816144965